Exploring the Volume of Cylinders

In this video, Mizzou Carter teaches how to find the volume of a cylinder. The lesson begins with an introduction to the concept of volume and the derivation of the formula for the volume of a cylinder, which is πr²h. Two worked examples are provided: the first uses a given radius and height, while the second uses a given diameter and height. The video emphasizes the importance of using the correct value for π as specified in the problem instructions.

What shape is the base of a cylinder?

• Circle

• Rectangle

• Triangle

• Square

Tags

CCSS.7.G.B.4

What is the formula to calculate the area of a circle?

• PI * r^2

• 2 * PI * r

• PI * d

• 2 * r^2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder?

• Base area * Width

• PI * r^2 * Height

• PI * d^2 * Height

• 2 * PI * r * Height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the first step in finding the volume of a cylinder?

• Calculate the base area

• Find the diameter

• Multiply by PI

• Calculate the height

Tags

CCSS.HSG.GMD.A.1

What value of PI is used in the lesson?

• 3.14159

• 22/7

• 3

• 3.14

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a radius of 5 and height of 16?

• 3140

• 1256

• 1265

• 1600

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Why is it important to follow the format for PI as instructed?

• PI value doesn't matter

• To follow the lesson's guidelines

• To get the exact answer

• To ensure compatibility with Common Core assessment

Tags

CCSS.7.G.B.4

What is the radius if the diameter of a cylinder is 10?

• 20

• 2.5

• 5

• 10

Tags

CCSS.7.G.B.4

If the diameter is given instead of the radius, what should you do?

• Divide by 2

• Use as is

• Multiply by 2

• Square it

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylinder with a diameter of 10 and height of 12?

• 942

• 940

• 3140

• 1500

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3